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Finding the Fourth Proportional to 52,544.60, 78,889.80 and 32,861.60

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Solution

The fourth proportional to 52,544.60, 78,889.80 and 32,861.60 is: 49,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,544.60 : 78,889.80 = 32,861.60 : x
  2. Step 2: Convert to fraction form
    52,544.60/78,889.80 = 32,861.60/x
  3. Step 3: Cross multiply
    52,544.60x = 78,889.80 × 32,861.60
  4. Step 4: Simplify right side
    52,544.60x = 2,592,445,051.68
  5. Step 5: Solve for x
    x = 2,592,445,051.68/52,544.60
  6. Step 6: Final answer
    x = 49,337.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.